Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800q |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31360 |
Modular degree for the optimal curve |
Δ |
-2093750000 = -1 · 24 · 59 · 67 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,-59375] |
[a1,a2,a3,a4,a6] |
Generators |
[64:137:1] |
Generators of the group modulo torsion |
j |
-84098304/67 |
j-invariant |
L |
2.968671460752 |
L(r)(E,1)/r! |
Ω |
0.32597879304544 |
Real period |
R |
4.5534732996238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400h1 107200de1 26800m1 |
Quadratic twists by: -4 8 5 |